Using the permutation formula, there is a 0.0002 = 0.02% probability that they spell CHEF.
The order in which the letters are chosen is important, hence the permutation formula is used.
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
For this problem, 4 letters are chosen from a set of 10, hence the number of permutations is given by:
[tex]P_{10,4} = \frac{10!}{6!} = 5040[/tex]
CHEF is only one of the permutations, hence the probability is given by:
p = 1/5040 = 0.0002.
0.0002 = 0.02% probability that they spell CHEF.
More can be learned about the permutation formula at https://brainly.com/question/25925367
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